BIB(9,18t,8t,4,3t) designs with repeated blocks
type: Item
instance of: scholarly article
title: BIB(9,18t,8t,4,3t) designs with repeated blocks
zbMATH Open document ID: 0629.62079
DOI: 10.1016/0378-3758(88)90023-7
published in: Journal of Statistical Planning and Inference
publication date: 1988-01-01T00:00:00Z
review text: The set of distinct blocks of a BIB(\(\nu\),b,r,k,\(\lambda)\) design is referred to as the support of a design. Via a computer program based on the methods of tradeoff and composition of designs, a table of 105 BIB designs based on \(\nu =9\), \(k=4\) with support sizes \(18\leq b^*\leq \left( \begin{matrix} 9\\ 4\end{matrix} \right)=126\) except for \(b^*=19,20,21,23\) have been constructed. BIB designs with \(\nu =9\), \(k=4\) and \(b^*<18\) are shown to be non-existent.
Mathematics Subject Classification ID: 62K10
Mathematics Subject Classification ID: 62Q05
Mathematics Subject Classification ID: 05B05
zbMATH DE Number: 4024561
zbMATH Keywords: repeated blocks
zbMATH Keywords: support
zbMATH Keywords: tradeoff
zbMATH Keywords: composition of designs
zbMATH Keywords: BIB designs
author: Gholamreza Khosrovshahi
author: E. S. Mahmoodian
MaRDI profile type: Publication
full work available at URL: 0378-3758(88)90023-7
OpenAlex ID: W2092092208
cites work: On theory and applications of BIB designs with repeated blocks
cites work: Construction of BIB designs with various support sizes - with special emphasis for \(v=8\) and \(k=4\)
cites work: On the structure of (v,k,t) trades
cites work: Q5626681
Wikidata QID: Q126772078
description: scientific article; zbMATH DE number 4024561